Properties

Label 1110.2.ba.a.619.9
Level $1110$
Weight $2$
Character 1110.619
Analytic conductor $8.863$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 1110 = 2 \cdot 3 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1110.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.86339462436\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 619.9
Character \(\chi\) \(=\) 1110.619
Dual form 1110.2.ba.a.529.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.83047 - 1.28429i) q^{5} -1.00000i q^{6} +(-3.31268 + 1.91258i) q^{7} +1.00000 q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(-0.866025 + 0.500000i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(1.83047 - 1.28429i) q^{5} -1.00000i q^{6} +(-3.31268 + 1.91258i) q^{7} +1.00000 q^{8} +(0.500000 - 0.866025i) q^{9} +(0.196990 + 2.22737i) q^{10} +1.67653 q^{11} +(0.866025 + 0.500000i) q^{12} +(1.56010 + 2.70218i) q^{13} -3.82515i q^{14} +(-0.943089 + 2.02746i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(2.75979 - 4.78010i) q^{17} +(0.500000 + 0.866025i) q^{18} +(-1.27752 + 0.737577i) q^{19} +(-2.02746 - 0.943089i) q^{20} +(1.91258 - 3.31268i) q^{21} +(-0.838266 + 1.45192i) q^{22} -1.21394 q^{23} +(-0.866025 + 0.500000i) q^{24} +(1.70122 - 4.70168i) q^{25} -3.12020 q^{26} +1.00000i q^{27} +(3.31268 + 1.91258i) q^{28} +2.97019i q^{29} +(-1.28429 - 1.83047i) q^{30} +5.65752i q^{31} +(-0.500000 - 0.866025i) q^{32} +(-1.45192 + 0.838266i) q^{33} +(2.75979 + 4.78010i) q^{34} +(-3.60746 + 7.75534i) q^{35} -1.00000 q^{36} +(-1.06142 - 5.98944i) q^{37} -1.47515i q^{38} +(-2.70218 - 1.56010i) q^{39} +(1.83047 - 1.28429i) q^{40} +(4.89193 + 8.47308i) q^{41} +(1.91258 + 3.31268i) q^{42} +11.7908 q^{43} +(-0.838266 - 1.45192i) q^{44} +(-0.196990 - 2.22737i) q^{45} +(0.606969 - 1.05130i) q^{46} +11.2816i q^{47} -1.00000i q^{48} +(3.81590 - 6.60933i) q^{49} +(3.22117 + 3.82415i) q^{50} +5.51959i q^{51} +(1.56010 - 2.70218i) q^{52} +(2.49973 + 1.44322i) q^{53} +(-0.866025 - 0.500000i) q^{54} +(3.06884 - 2.15315i) q^{55} +(-3.31268 + 1.91258i) q^{56} +(0.737577 - 1.27752i) q^{57} +(-2.57226 - 1.48510i) q^{58} +(5.20788 + 3.00677i) q^{59} +(2.22737 - 0.196990i) q^{60} +(-5.55247 + 3.20572i) q^{61} +(-4.89955 - 2.82876i) q^{62} +3.82515i q^{63} +1.00000 q^{64} +(6.32608 + 2.94263i) q^{65} -1.67653i q^{66} +(0.933703 - 0.539074i) q^{67} -5.51959 q^{68} +(1.05130 - 0.606969i) q^{69} +(-4.91259 - 7.00182i) q^{70} +(0.807805 + 1.39916i) q^{71} +(0.500000 - 0.866025i) q^{72} +12.7659i q^{73} +(5.71772 + 2.07550i) q^{74} +(0.877540 + 4.92239i) q^{75} +(1.27752 + 0.737577i) q^{76} +(-5.55382 + 3.20650i) q^{77} +(2.70218 - 1.56010i) q^{78} +(-1.38034 + 0.796940i) q^{79} +(0.196990 + 2.22737i) q^{80} +(-0.500000 - 0.866025i) q^{81} -9.78387 q^{82} +(3.79462 + 2.19082i) q^{83} -3.82515 q^{84} +(-1.08730 - 12.2942i) q^{85} +(-5.89540 + 10.2111i) q^{86} +(-1.48510 - 2.57226i) q^{87} +1.67653 q^{88} +(-7.36049 - 4.24958i) q^{89} +(2.02746 + 0.943089i) q^{90} +(-10.3362 - 5.96763i) q^{91} +(0.606969 + 1.05130i) q^{92} +(-2.82876 - 4.89955i) q^{93} +(-9.77017 - 5.64081i) q^{94} +(-1.39120 + 2.99081i) q^{95} +(0.866025 + 0.500000i) q^{96} +16.8340 q^{97} +(3.81590 + 6.60933i) q^{98} +(0.838266 - 1.45192i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 18q^{2} - 18q^{4} + 2q^{5} + 36q^{8} + 18q^{9} + O(q^{10}) \) \( 36q - 18q^{2} - 18q^{4} + 2q^{5} + 36q^{8} + 18q^{9} + 2q^{10} + 4q^{11} - 14q^{13} - 2q^{15} - 18q^{16} + 18q^{18} + 6q^{19} - 4q^{20} - 2q^{22} - 20q^{23} + 4q^{25} + 28q^{26} - 2q^{30} - 18q^{32} - 6q^{33} - 40q^{35} - 36q^{36} + 20q^{37} + 6q^{39} + 2q^{40} + 10q^{41} - 2q^{44} - 2q^{45} + 10q^{46} + 10q^{49} - 2q^{50} - 14q^{52} - 12q^{53} + 56q^{55} + 8q^{57} + 30q^{58} + 18q^{59} + 4q^{60} - 6q^{61} - 12q^{62} + 36q^{64} + 40q^{65} + 36q^{67} + 12q^{69} + 20q^{70} - 24q^{71} + 18q^{72} - 34q^{74} + 8q^{75} - 6q^{76} - 24q^{77} - 6q^{78} + 2q^{80} - 18q^{81} - 20q^{82} + 36q^{83} + 26q^{85} - 10q^{87} + 4q^{88} + 4q^{90} - 36q^{91} + 10q^{92} + 12q^{93} + 12q^{94} - 30q^{95} + 52q^{97} + 10q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1110\mathbb{Z}\right)^\times\).

\(n\) \(371\) \(631\) \(667\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 + 0.866025i −0.353553 + 0.612372i
\(3\) −0.866025 + 0.500000i −0.500000 + 0.288675i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 1.83047 1.28429i 0.818610 0.574350i
\(6\) 1.00000i 0.408248i
\(7\) −3.31268 + 1.91258i −1.25208 + 0.722886i −0.971521 0.236952i \(-0.923852\pi\)
−0.280554 + 0.959838i \(0.590518\pi\)
\(8\) 1.00000 0.353553
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) 0.196990 + 2.22737i 0.0622936 + 0.704358i
\(11\) 1.67653 0.505494 0.252747 0.967532i \(-0.418666\pi\)
0.252747 + 0.967532i \(0.418666\pi\)
\(12\) 0.866025 + 0.500000i 0.250000 + 0.144338i
\(13\) 1.56010 + 2.70218i 0.432694 + 0.749449i 0.997104 0.0760461i \(-0.0242296\pi\)
−0.564410 + 0.825495i \(0.690896\pi\)
\(14\) 3.82515i 1.02232i
\(15\) −0.943089 + 2.02746i −0.243505 + 0.523487i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 2.75979 4.78010i 0.669348 1.15935i −0.308738 0.951147i \(-0.599907\pi\)
0.978087 0.208199i \(-0.0667600\pi\)
\(18\) 0.500000 + 0.866025i 0.117851 + 0.204124i
\(19\) −1.27752 + 0.737577i −0.293083 + 0.169212i −0.639331 0.768931i \(-0.720789\pi\)
0.346248 + 0.938143i \(0.387455\pi\)
\(20\) −2.02746 0.943089i −0.453353 0.210881i
\(21\) 1.91258 3.31268i 0.417358 0.722886i
\(22\) −0.838266 + 1.45192i −0.178719 + 0.309550i
\(23\) −1.21394 −0.253124 −0.126562 0.991959i \(-0.540394\pi\)
−0.126562 + 0.991959i \(0.540394\pi\)
\(24\) −0.866025 + 0.500000i −0.176777 + 0.102062i
\(25\) 1.70122 4.70168i 0.340245 0.940337i
\(26\) −3.12020 −0.611922
\(27\) 1.00000i 0.192450i
\(28\) 3.31268 + 1.91258i 0.626038 + 0.361443i
\(29\) 2.97019i 0.551551i 0.961222 + 0.275775i \(0.0889346\pi\)
−0.961222 + 0.275775i \(0.911065\pi\)
\(30\) −1.28429 1.83047i −0.234477 0.334196i
\(31\) 5.65752i 1.01612i 0.861322 + 0.508060i \(0.169637\pi\)
−0.861322 + 0.508060i \(0.830363\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −1.45192 + 0.838266i −0.252747 + 0.145923i
\(34\) 2.75979 + 4.78010i 0.473301 + 0.819781i
\(35\) −3.60746 + 7.75534i −0.609772 + 1.31089i
\(36\) −1.00000 −0.166667
\(37\) −1.06142 5.98944i −0.174497 0.984658i
\(38\) 1.47515i 0.239301i
\(39\) −2.70218 1.56010i −0.432694 0.249816i
\(40\) 1.83047 1.28429i 0.289422 0.203063i
\(41\) 4.89193 + 8.47308i 0.763992 + 1.32327i 0.940778 + 0.339023i \(0.110096\pi\)
−0.176786 + 0.984249i \(0.556570\pi\)
\(42\) 1.91258 + 3.31268i 0.295117 + 0.511158i
\(43\) 11.7908 1.79808 0.899040 0.437866i \(-0.144266\pi\)
0.899040 + 0.437866i \(0.144266\pi\)
\(44\) −0.838266 1.45192i −0.126373 0.218885i
\(45\) −0.196990 2.22737i −0.0293655 0.332037i
\(46\) 0.606969 1.05130i 0.0894927 0.155006i
\(47\) 11.2816i 1.64559i 0.568336 + 0.822796i \(0.307587\pi\)
−0.568336 + 0.822796i \(0.692413\pi\)
\(48\) 1.00000i 0.144338i
\(49\) 3.81590 6.60933i 0.545128 0.944190i
\(50\) 3.22117 + 3.82415i 0.455542 + 0.540816i
\(51\) 5.51959i 0.772897i
\(52\) 1.56010 2.70218i 0.216347 0.374724i
\(53\) 2.49973 + 1.44322i 0.343365 + 0.198242i 0.661759 0.749717i \(-0.269810\pi\)
−0.318394 + 0.947958i \(0.603144\pi\)
\(54\) −0.866025 0.500000i −0.117851 0.0680414i
\(55\) 3.06884 2.15315i 0.413802 0.290330i
\(56\) −3.31268 + 1.91258i −0.442675 + 0.255579i
\(57\) 0.737577 1.27752i 0.0976944 0.169212i
\(58\) −2.57226 1.48510i −0.337755 0.195003i
\(59\) 5.20788 + 3.00677i 0.678009 + 0.391448i 0.799104 0.601192i \(-0.205307\pi\)
−0.121096 + 0.992641i \(0.538641\pi\)
\(60\) 2.22737 0.196990i 0.287553 0.0254313i
\(61\) −5.55247 + 3.20572i −0.710921 + 0.410451i −0.811402 0.584488i \(-0.801295\pi\)
0.100481 + 0.994939i \(0.467962\pi\)
\(62\) −4.89955 2.82876i −0.622244 0.359253i
\(63\) 3.82515i 0.481924i
\(64\) 1.00000 0.125000
\(65\) 6.32608 + 2.94263i 0.784653 + 0.364988i
\(66\) 1.67653i 0.206367i
\(67\) 0.933703 0.539074i 0.114070 0.0658583i −0.441879 0.897074i \(-0.645688\pi\)
0.555949 + 0.831216i \(0.312355\pi\)
\(68\) −5.51959 −0.669348
\(69\) 1.05130 0.606969i 0.126562 0.0730705i
\(70\) −4.91259 7.00182i −0.587166 0.836877i
\(71\) 0.807805 + 1.39916i 0.0958689 + 0.166050i 0.909971 0.414672i \(-0.136104\pi\)
−0.814102 + 0.580722i \(0.802770\pi\)
\(72\) 0.500000 0.866025i 0.0589256 0.102062i
\(73\) 12.7659i 1.49414i 0.664747 + 0.747069i \(0.268539\pi\)
−0.664747 + 0.747069i \(0.731461\pi\)
\(74\) 5.71772 + 2.07550i 0.664671 + 0.241272i
\(75\) 0.877540 + 4.92239i 0.101330 + 0.568389i
\(76\) 1.27752 + 0.737577i 0.146542 + 0.0846058i
\(77\) −5.55382 + 3.20650i −0.632916 + 0.365414i
\(78\) 2.70218 1.56010i 0.305961 0.176647i
\(79\) −1.38034 + 0.796940i −0.155301 + 0.0896628i −0.575636 0.817706i \(-0.695246\pi\)
0.420336 + 0.907369i \(0.361912\pi\)
\(80\) 0.196990 + 2.22737i 0.0220241 + 0.249028i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) −9.78387 −1.08045
\(83\) 3.79462 + 2.19082i 0.416513 + 0.240474i 0.693584 0.720375i \(-0.256030\pi\)
−0.277071 + 0.960849i \(0.589364\pi\)
\(84\) −3.82515 −0.417358
\(85\) −1.08730 12.2942i −0.117934 1.33349i
\(86\) −5.89540 + 10.2111i −0.635717 + 1.10109i
\(87\) −1.48510 2.57226i −0.159219 0.275775i
\(88\) 1.67653 0.178719
\(89\) −7.36049 4.24958i −0.780210 0.450454i 0.0562948 0.998414i \(-0.482071\pi\)
−0.836505 + 0.547960i \(0.815405\pi\)
\(90\) 2.02746 + 0.943089i 0.213713 + 0.0994103i
\(91\) −10.3362 5.96763i −1.08353 0.625577i
\(92\) 0.606969 + 1.05130i 0.0632809 + 0.109606i
\(93\) −2.82876 4.89955i −0.293329 0.508060i
\(94\) −9.77017 5.64081i −1.00772 0.581805i
\(95\) −1.39120 + 2.99081i −0.142734 + 0.306851i
\(96\) 0.866025 + 0.500000i 0.0883883 + 0.0510310i
\(97\) 16.8340 1.70923 0.854617 0.519259i \(-0.173792\pi\)
0.854617 + 0.519259i \(0.173792\pi\)
\(98\) 3.81590 + 6.60933i 0.385464 + 0.667643i
\(99\) 0.838266 1.45192i 0.0842489 0.145923i
\(100\) −4.92239 + 0.877540i −0.492239 + 0.0877540i
\(101\) 2.23855 0.222744 0.111372 0.993779i \(-0.464476\pi\)
0.111372 + 0.993779i \(0.464476\pi\)
\(102\) −4.78010 2.75979i −0.473301 0.273260i
\(103\) −4.22889 −0.416684 −0.208342 0.978056i \(-0.566807\pi\)
−0.208342 + 0.978056i \(0.566807\pi\)
\(104\) 1.56010 + 2.70218i 0.152981 + 0.264970i
\(105\) −0.753516 8.52005i −0.0735356 0.831471i
\(106\) −2.49973 + 1.44322i −0.242795 + 0.140178i
\(107\) −2.24493 + 1.29611i −0.217026 + 0.125300i −0.604572 0.796550i \(-0.706656\pi\)
0.387547 + 0.921850i \(0.373323\pi\)
\(108\) 0.866025 0.500000i 0.0833333 0.0481125i
\(109\) 12.2762 + 7.08769i 1.17585 + 0.678877i 0.955051 0.296442i \(-0.0958001\pi\)
0.220799 + 0.975319i \(0.429133\pi\)
\(110\) 0.330260 + 3.73427i 0.0314890 + 0.356048i
\(111\) 3.91394 + 4.65629i 0.371495 + 0.441956i
\(112\) 3.82515i 0.361443i
\(113\) −8.59155 + 14.8810i −0.808225 + 1.39989i 0.105868 + 0.994380i \(0.466238\pi\)
−0.914092 + 0.405506i \(0.867095\pi\)
\(114\) 0.737577 + 1.27752i 0.0690804 + 0.119651i
\(115\) −2.22208 + 1.55904i −0.207210 + 0.145382i
\(116\) 2.57226 1.48510i 0.238829 0.137888i
\(117\) 3.12020 0.288463
\(118\) −5.20788 + 3.00677i −0.479424 + 0.276796i
\(119\) 21.1133i 1.93545i
\(120\) −0.943089 + 2.02746i −0.0860918 + 0.185081i
\(121\) −8.18924 −0.744476
\(122\) 6.41144i 0.580465i
\(123\) −8.47308 4.89193i −0.763992 0.441091i
\(124\) 4.89955 2.82876i 0.439993 0.254030i
\(125\) −2.92427 10.7911i −0.261555 0.965189i
\(126\) −3.31268 1.91258i −0.295117 0.170386i
\(127\) −14.0316 8.10117i −1.24511 0.718862i −0.274977 0.961451i \(-0.588670\pi\)
−0.970129 + 0.242589i \(0.922003\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) −10.2111 + 5.89540i −0.899040 + 0.519061i
\(130\) −5.71143 + 4.00723i −0.500926 + 0.351457i
\(131\) 15.8066 + 9.12596i 1.38103 + 0.797339i 0.992282 0.124004i \(-0.0395736\pi\)
0.388750 + 0.921343i \(0.372907\pi\)
\(132\) 1.45192 + 0.838266i 0.126373 + 0.0729617i
\(133\) 2.82134 4.88671i 0.244642 0.423732i
\(134\) 1.07815i 0.0931378i
\(135\) 1.28429 + 1.83047i 0.110534 + 0.157542i
\(136\) 2.75979 4.78010i 0.236650 0.409891i
\(137\) 2.97364i 0.254055i −0.991899 0.127028i \(-0.959456\pi\)
0.991899 0.127028i \(-0.0405437\pi\)
\(138\) 1.21394i 0.103337i
\(139\) −5.43980 + 9.42200i −0.461397 + 0.799164i −0.999031 0.0440148i \(-0.985985\pi\)
0.537633 + 0.843179i \(0.319318\pi\)
\(140\) 8.52005 0.753516i 0.720075 0.0636837i
\(141\) −5.64081 9.77017i −0.475042 0.822796i
\(142\) −1.61561 −0.135579
\(143\) 2.61556 + 4.53028i 0.218724 + 0.378841i
\(144\) 0.500000 + 0.866025i 0.0416667 + 0.0721688i
\(145\) 3.81457 + 5.43684i 0.316783 + 0.451505i
\(146\) −11.0556 6.38296i −0.914969 0.528257i
\(147\) 7.63180i 0.629460i
\(148\) −4.65629 + 3.91394i −0.382745 + 0.321724i
\(149\) 8.97575 0.735322 0.367661 0.929960i \(-0.380159\pi\)
0.367661 + 0.929960i \(0.380159\pi\)
\(150\) −4.70168 1.70122i −0.383891 0.138904i
\(151\) −5.87683 10.1790i −0.478250 0.828353i 0.521439 0.853288i \(-0.325395\pi\)
−0.999689 + 0.0249354i \(0.992062\pi\)
\(152\) −1.27752 + 0.737577i −0.103621 + 0.0598254i
\(153\) −2.75979 4.78010i −0.223116 0.386449i
\(154\) 6.41299i 0.516774i
\(155\) 7.26586 + 10.3559i 0.583608 + 0.831806i
\(156\) 3.12020i 0.249816i
\(157\) −0.108243 0.0624939i −0.00863870 0.00498755i 0.495674 0.868508i \(-0.334921\pi\)
−0.504313 + 0.863521i \(0.668254\pi\)
\(158\) 1.59388i 0.126802i
\(159\) −2.88644 −0.228910
\(160\) −2.02746 0.943089i −0.160285 0.0745577i
\(161\) 4.02139 2.32175i 0.316930 0.182980i
\(162\) 1.00000 0.0785674
\(163\) 8.41453 14.5744i 0.659077 1.14155i −0.321778 0.946815i \(-0.604280\pi\)
0.980855 0.194740i \(-0.0623862\pi\)
\(164\) 4.89193 8.47308i 0.381996 0.661636i
\(165\) −1.58112 + 3.39910i −0.123090 + 0.264619i
\(166\) −3.79462 + 2.19082i −0.294519 + 0.170041i
\(167\) −10.0346 17.3805i −0.776503 1.34494i −0.933946 0.357415i \(-0.883658\pi\)
0.157443 0.987528i \(-0.449675\pi\)
\(168\) 1.91258 3.31268i 0.147558 0.255579i
\(169\) 1.63217 2.82700i 0.125551 0.217461i
\(170\) 11.1907 + 5.20546i 0.858290 + 0.399241i
\(171\) 1.47515i 0.112808i
\(172\) −5.89540 10.2111i −0.449520 0.778592i
\(173\) 11.9639 + 6.90737i 0.909599 + 0.525157i 0.880302 0.474414i \(-0.157340\pi\)
0.0292969 + 0.999571i \(0.490673\pi\)
\(174\) 2.97019 0.225170
\(175\) 3.35672 + 18.8289i 0.253744 + 1.42333i
\(176\) −0.838266 + 1.45192i −0.0631867 + 0.109443i
\(177\) −6.01354 −0.452006
\(178\) 7.36049 4.24958i 0.551692 0.318519i
\(179\) 12.8111i 0.957545i 0.877939 + 0.478773i \(0.158918\pi\)
−0.877939 + 0.478773i \(0.841082\pi\)
\(180\) −1.83047 + 1.28429i −0.136435 + 0.0957250i
\(181\) −7.43016 12.8694i −0.552280 0.956576i −0.998110 0.0614588i \(-0.980425\pi\)
0.445830 0.895118i \(-0.352909\pi\)
\(182\) 10.3362 5.96763i 0.766173 0.442350i
\(183\) 3.20572 5.55247i 0.236974 0.410451i
\(184\) −1.21394 −0.0894927
\(185\) −9.63505 9.60030i −0.708383 0.705828i
\(186\) 5.65752 0.414829
\(187\) 4.62689 8.01400i 0.338351 0.586042i
\(188\) 9.77017 5.64081i 0.712563 0.411398i
\(189\) −1.91258 3.31268i −0.139119 0.240962i
\(190\) −1.89452 2.70022i −0.137443 0.195895i
\(191\) 12.5432i 0.907597i 0.891104 + 0.453798i \(0.149931\pi\)
−0.891104 + 0.453798i \(0.850069\pi\)
\(192\) −0.866025 + 0.500000i −0.0625000 + 0.0360844i
\(193\) 26.1467 1.88208 0.941041 0.338292i \(-0.109849\pi\)
0.941041 + 0.338292i \(0.109849\pi\)
\(194\) −8.41700 + 14.5787i −0.604306 + 1.04669i
\(195\) −6.94986 + 0.614648i −0.497690 + 0.0440159i
\(196\) −7.63180 −0.545128
\(197\) −20.8765 12.0530i −1.48739 0.858744i −0.487492 0.873128i \(-0.662088\pi\)
−0.999897 + 0.0143835i \(0.995421\pi\)
\(198\) 0.838266 + 1.45192i 0.0595730 + 0.103183i
\(199\) 21.4951i 1.52374i −0.647727 0.761872i \(-0.724280\pi\)
0.647727 0.761872i \(-0.275720\pi\)
\(200\) 1.70122 4.70168i 0.120295 0.332459i
\(201\) −0.539074 + 0.933703i −0.0380233 + 0.0658583i
\(202\) −1.11927 + 1.93864i −0.0787519 + 0.136402i
\(203\) −5.68072 9.83930i −0.398708 0.690583i
\(204\) 4.78010 2.75979i 0.334674 0.193224i
\(205\) 19.8364 + 9.22706i 1.38543 + 0.644446i
\(206\) 2.11444 3.66232i 0.147320 0.255166i
\(207\) −0.606969 + 1.05130i −0.0421873 + 0.0730705i
\(208\) −3.12020 −0.216347
\(209\) −2.14180 + 1.23657i −0.148152 + 0.0855354i
\(210\) 7.75534 + 3.60746i 0.535169 + 0.248938i
\(211\) 7.62398 0.524856 0.262428 0.964952i \(-0.415477\pi\)
0.262428 + 0.964952i \(0.415477\pi\)
\(212\) 2.88644i 0.198242i
\(213\) −1.39916 0.807805i −0.0958689 0.0553499i
\(214\) 2.59222i 0.177201i
\(215\) 21.5827 15.1427i 1.47193 1.03273i
\(216\) 1.00000i 0.0680414i
\(217\) −10.8204 18.7415i −0.734539 1.27226i
\(218\) −12.2762 + 7.08769i −0.831452 + 0.480039i
\(219\) −6.38296 11.0556i −0.431320 0.747069i
\(220\) −3.39910 1.58112i −0.229167 0.106599i
\(221\) 17.2222 1.15849
\(222\) −5.98944 + 1.06142i −0.401985 + 0.0712382i
\(223\) 4.00109i 0.267933i −0.990986 0.133966i \(-0.957229\pi\)
0.990986 0.133966i \(-0.0427714\pi\)
\(224\) 3.31268 + 1.91258i 0.221338 + 0.127789i
\(225\) −3.22117 3.82415i −0.214744 0.254943i
\(226\) −8.59155 14.8810i −0.571501 0.989869i
\(227\) −6.44101 11.1562i −0.427505 0.740460i 0.569146 0.822237i \(-0.307274\pi\)
−0.996651 + 0.0817765i \(0.973941\pi\)
\(228\) −1.47515 −0.0976944
\(229\) −7.81590 13.5375i −0.516489 0.894586i −0.999817 0.0191460i \(-0.993905\pi\)
0.483327 0.875440i \(-0.339428\pi\)
\(230\) −0.239133 2.70389i −0.0157680 0.178290i
\(231\) 3.20650 5.55382i 0.210972 0.365414i
\(232\) 2.97019i 0.195003i
\(233\) 2.50962i 0.164410i −0.996615 0.0822052i \(-0.973804\pi\)
0.996615 0.0822052i \(-0.0261963\pi\)
\(234\) −1.56010 + 2.70218i −0.101987 + 0.176647i
\(235\) 14.4888 + 20.6506i 0.945146 + 1.34710i
\(236\) 6.01354i 0.391448i
\(237\) 0.796940 1.38034i 0.0517668 0.0896628i
\(238\) −18.2846 10.5566i −1.18522 0.684285i
\(239\) 3.69433 + 2.13292i 0.238966 + 0.137967i 0.614702 0.788760i \(-0.289276\pi\)
−0.375735 + 0.926727i \(0.622610\pi\)
\(240\) −1.28429 1.83047i −0.0829002 0.118156i
\(241\) 25.2255 14.5640i 1.62492 0.938147i 0.639341 0.768924i \(-0.279207\pi\)
0.985578 0.169223i \(-0.0541259\pi\)
\(242\) 4.09462 7.09209i 0.263212 0.455897i
\(243\) 0.866025 + 0.500000i 0.0555556 + 0.0320750i
\(244\) 5.55247 + 3.20572i 0.355461 + 0.205225i
\(245\) −1.50339 16.9989i −0.0960478 1.08602i
\(246\) 8.47308 4.89193i 0.540224 0.311898i
\(247\) −3.98612 2.30139i −0.253631 0.146434i
\(248\) 5.65752i 0.359253i
\(249\) −4.38165 −0.277676
\(250\) 10.8075 + 2.86308i 0.683528 + 0.181077i
\(251\) 13.7583i 0.868414i −0.900813 0.434207i \(-0.857029\pi\)
0.900813 0.434207i \(-0.142971\pi\)
\(252\) 3.31268 1.91258i 0.208679 0.120481i
\(253\) −2.03521 −0.127952
\(254\) 14.0316 8.10117i 0.880423 0.508312i
\(255\) 7.08873 + 10.1034i 0.443913 + 0.632701i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 3.17314 5.49604i 0.197935 0.342833i −0.749924 0.661524i \(-0.769910\pi\)
0.947859 + 0.318691i \(0.103243\pi\)
\(258\) 11.7908i 0.734063i
\(259\) 14.9714 + 17.8110i 0.930279 + 1.10672i
\(260\) −0.614648 6.94986i −0.0381188 0.431012i
\(261\) 2.57226 + 1.48510i 0.159219 + 0.0919252i
\(262\) −15.8066 + 9.12596i −0.976537 + 0.563804i
\(263\) −0.942492 + 0.544148i −0.0581165 + 0.0335536i −0.528777 0.848761i \(-0.677349\pi\)
0.470660 + 0.882315i \(0.344016\pi\)
\(264\) −1.45192 + 0.838266i −0.0893595 + 0.0515917i
\(265\) 6.42919 0.568599i 0.394942 0.0349288i
\(266\) 2.82134 + 4.88671i 0.172988 + 0.299623i
\(267\) 8.49916 0.520140
\(268\) −0.933703 0.539074i −0.0570350 0.0329292i
\(269\) −3.18400 −0.194132 −0.0970658 0.995278i \(-0.530946\pi\)
−0.0970658 + 0.995278i \(0.530946\pi\)
\(270\) −2.22737 + 0.196990i −0.135554 + 0.0119884i
\(271\) −8.94307 + 15.4898i −0.543253 + 0.940941i 0.455462 + 0.890255i \(0.349474\pi\)
−0.998715 + 0.0506859i \(0.983859\pi\)
\(272\) 2.75979 + 4.78010i 0.167337 + 0.289836i
\(273\) 11.9353 0.722354
\(274\) 2.57525 + 1.48682i 0.155576 + 0.0898221i
\(275\) 2.85216 7.88253i 0.171992 0.475334i
\(276\) −1.05130 0.606969i −0.0632809 0.0365353i
\(277\) 9.81717 + 17.0038i 0.589857 + 1.02166i 0.994251 + 0.107077i \(0.0341491\pi\)
−0.404394 + 0.914585i \(0.632518\pi\)
\(278\) −5.43980 9.42200i −0.326257 0.565094i
\(279\) 4.89955 + 2.82876i 0.293329 + 0.169353i
\(280\) −3.60746 + 7.75534i −0.215587 + 0.463470i
\(281\) 10.2198 + 5.90041i 0.609662 + 0.351989i 0.772833 0.634609i \(-0.218839\pi\)
−0.163171 + 0.986598i \(0.552172\pi\)
\(282\) 11.2816 0.671810
\(283\) −1.07987 1.87039i −0.0641916 0.111183i 0.832144 0.554560i \(-0.187114\pi\)
−0.896335 + 0.443377i \(0.853780\pi\)
\(284\) 0.807805 1.39916i 0.0479344 0.0830249i
\(285\) −0.290590 3.28572i −0.0172131 0.194629i
\(286\) −5.23112 −0.309323
\(287\) −32.4108 18.7124i −1.91315 1.10456i
\(288\) −1.00000 −0.0589256
\(289\) −6.73293 11.6618i −0.396055 0.685987i
\(290\) −6.61573 + 0.585097i −0.388489 + 0.0343581i
\(291\) −14.5787 + 8.41700i −0.854617 + 0.493413i
\(292\) 11.0556 6.38296i 0.646981 0.373534i
\(293\) 3.09718 1.78816i 0.180939 0.104465i −0.406795 0.913520i \(-0.633354\pi\)
0.587734 + 0.809054i \(0.300020\pi\)
\(294\) −6.60933 3.81590i −0.385464 0.222548i
\(295\) 13.3944 1.18461i 0.779853 0.0689705i
\(296\) −1.06142 5.98944i −0.0616941 0.348129i
\(297\) 1.67653i 0.0972823i
\(298\) −4.48787 + 7.77322i −0.259975 + 0.450291i
\(299\) −1.89387 3.28027i −0.109525 0.189703i
\(300\) 3.82415 3.22117i 0.220787 0.185974i
\(301\) −39.0591 + 22.5508i −2.25133 + 1.29981i
\(302\) 11.7537 0.676347
\(303\) −1.93864 + 1.11927i −0.111372 + 0.0643006i
\(304\) 1.47515i 0.0846058i
\(305\) −6.04656 + 12.9989i −0.346225 + 0.744316i
\(306\) 5.51959 0.315534
\(307\) 11.3779i 0.649371i −0.945822 0.324685i \(-0.894742\pi\)
0.945822 0.324685i \(-0.105258\pi\)
\(308\) 5.55382 + 3.20650i 0.316458 + 0.182707i
\(309\) 3.66232 2.11444i 0.208342 0.120286i
\(310\) −12.6014 + 1.11447i −0.715712 + 0.0632978i
\(311\) 25.0523 + 14.4639i 1.42058 + 0.820174i 0.996349 0.0853784i \(-0.0272099\pi\)
0.424234 + 0.905552i \(0.360543\pi\)
\(312\) −2.70218 1.56010i −0.152981 0.0883234i
\(313\) −6.77595 + 11.7363i −0.382999 + 0.663374i −0.991489 0.130187i \(-0.958442\pi\)
0.608490 + 0.793561i \(0.291775\pi\)
\(314\) 0.108243 0.0624939i 0.00610848 0.00352673i
\(315\) 4.91259 + 7.00182i 0.276793 + 0.394508i
\(316\) 1.38034 + 0.796940i 0.0776503 + 0.0448314i
\(317\) −0.669018 0.386258i −0.0375758 0.0216944i 0.481094 0.876669i \(-0.340239\pi\)
−0.518670 + 0.854974i \(0.673573\pi\)
\(318\) 1.44322 2.49973i 0.0809318 0.140178i
\(319\) 4.97962i 0.278805i
\(320\) 1.83047 1.28429i 0.102326 0.0717937i
\(321\) 1.29611 2.24493i 0.0723419 0.125300i
\(322\) 4.64350i 0.258772i
\(323\) 8.14224i 0.453046i
\(324\) −0.500000 + 0.866025i −0.0277778 + 0.0481125i
\(325\) 15.3589 2.73810i 0.851956 0.151883i
\(326\) 8.41453 + 14.5744i 0.466038 + 0.807201i
\(327\) −14.1754 −0.783900
\(328\) 4.89193 + 8.47308i 0.270112 + 0.467847i
\(329\) −21.5770 37.3724i −1.18958 2.06041i
\(330\) −2.15315 3.06884i −0.118527 0.168934i
\(331\) −6.34735 3.66465i −0.348882 0.201427i 0.315311 0.948988i \(-0.397891\pi\)
−0.664193 + 0.747561i \(0.731225\pi\)
\(332\) 4.38165i 0.240474i
\(333\) −5.71772 2.07550i −0.313329 0.113737i
\(334\) 20.0693 1.09814
\(335\) 1.01679 2.18590i 0.0555531 0.119428i
\(336\) 1.91258 + 3.31268i 0.104340 + 0.180722i
\(337\) −10.2237 + 5.90267i −0.556922 + 0.321539i −0.751909 0.659267i \(-0.770867\pi\)
0.194987 + 0.980806i \(0.437533\pi\)
\(338\) 1.63217 + 2.82700i 0.0887782 + 0.153768i
\(339\) 17.1831i 0.933257i
\(340\) −10.1034 + 7.08873i −0.547935 + 0.384440i
\(341\) 9.48501i 0.513642i
\(342\) −1.27752 0.737577i −0.0690804 0.0398836i
\(343\) 2.41672i 0.130491i
\(344\) 11.7908 0.635717
\(345\) 1.14485 2.46121i 0.0616368 0.132507i
\(346\) −11.9639 + 6.90737i −0.643184 + 0.371342i
\(347\) 10.5172 0.564593 0.282297 0.959327i \(-0.408904\pi\)
0.282297 + 0.959327i \(0.408904\pi\)
\(348\) −1.48510 + 2.57226i −0.0796095 + 0.137888i
\(349\) −10.6455 + 18.4385i −0.569840 + 0.986991i 0.426742 + 0.904374i \(0.359661\pi\)
−0.996581 + 0.0826177i \(0.973672\pi\)
\(350\) −17.9847 6.50744i −0.961321 0.347837i
\(351\) −2.70218 + 1.56010i −0.144231 + 0.0832721i
\(352\) −0.838266 1.45192i −0.0446797 0.0773876i
\(353\) −1.38917 + 2.40612i −0.0739383 + 0.128065i −0.900624 0.434599i \(-0.856890\pi\)
0.826686 + 0.562664i \(0.190223\pi\)
\(354\) 3.00677 5.20788i 0.159808 0.276796i
\(355\) 3.27558 + 1.52366i 0.173850 + 0.0808677i
\(356\) 8.49916i 0.450454i
\(357\) −10.5566 18.2846i −0.558716 0.967725i
\(358\) −11.0947 6.40554i −0.586374 0.338543i
\(359\) −27.0841 −1.42945 −0.714723 0.699408i \(-0.753447\pi\)
−0.714723 + 0.699408i \(0.753447\pi\)
\(360\) −0.196990 2.22737i −0.0103823 0.117393i
\(361\) −8.41196 + 14.5699i −0.442735 + 0.766839i
\(362\) 14.8603 0.781041
\(363\) 7.09209 4.09462i 0.372238 0.214912i
\(364\) 11.9353i 0.625577i
\(365\) 16.3951 + 23.3676i 0.858158 + 1.22312i
\(366\) 3.20572 + 5.55247i 0.167566 + 0.290232i
\(367\) 0.553552 0.319593i 0.0288952 0.0166826i −0.485483 0.874246i \(-0.661356\pi\)
0.514378 + 0.857564i \(0.328023\pi\)
\(368\) 0.606969 1.05130i 0.0316405 0.0548029i
\(369\) 9.78387 0.509328
\(370\) 13.1316 3.54405i 0.682681 0.184246i
\(371\) −11.0411 −0.573224
\(372\) −2.82876 + 4.89955i −0.146664 + 0.254030i
\(373\) −8.09384 + 4.67298i −0.419083 + 0.241958i −0.694685 0.719314i \(-0.744456\pi\)
0.275602 + 0.961272i \(0.411123\pi\)
\(374\) 4.62689 + 8.01400i 0.239251 + 0.414394i
\(375\) 7.92806 + 7.88326i 0.409403 + 0.407090i
\(376\) 11.2816i 0.581805i
\(377\) −8.02598 + 4.63380i −0.413359 + 0.238653i
\(378\) 3.82515 0.196745
\(379\) 14.4675 25.0584i 0.743144 1.28716i −0.207913 0.978147i \(-0.566667\pi\)
0.951057 0.309015i \(-0.0999995\pi\)
\(380\) 3.28572 0.290590i 0.168554 0.0149070i
\(381\) 16.2023 0.830071
\(382\) −10.8628 6.27162i −0.555787 0.320884i
\(383\) 5.13077 + 8.88675i 0.262170 + 0.454092i 0.966818 0.255465i \(-0.0822285\pi\)
−0.704648 + 0.709557i \(0.748895\pi\)
\(384\) 1.00000i 0.0510310i
\(385\) −6.04802 + 13.0021i −0.308236 + 0.662647i
\(386\) −13.0734 + 22.6437i −0.665417 + 1.15254i
\(387\) 5.89540 10.2111i 0.299680 0.519061i
\(388\) −8.41700 14.5787i −0.427309 0.740120i
\(389\) −24.1044 + 13.9167i −1.22214 + 0.705605i −0.965374 0.260868i \(-0.915991\pi\)
−0.256769 + 0.966473i \(0.582658\pi\)
\(390\) 2.94263 6.32608i 0.149006 0.320333i
\(391\) −3.35022 + 5.80275i −0.169428 + 0.293458i
\(392\) 3.81590 6.60933i 0.192732 0.333822i
\(393\) −18.2519 −0.920688
\(394\) 20.8765 12.0530i 1.05174 0.607224i
\(395\) −1.50317 + 3.23152i −0.0756327 + 0.162596i
\(396\) −1.67653 −0.0842489
\(397\) 12.4253i 0.623610i −0.950146 0.311805i \(-0.899066\pi\)
0.950146 0.311805i \(-0.100934\pi\)
\(398\) 18.6153 + 10.7475i 0.933099 + 0.538725i
\(399\) 5.64269i 0.282488i
\(400\) 3.22117 + 3.82415i 0.161058 + 0.191207i
\(401\) 34.4549i 1.72060i −0.509790 0.860299i \(-0.670277\pi\)
0.509790 0.860299i \(-0.329723\pi\)
\(402\) −0.539074 0.933703i −0.0268866 0.0465689i
\(403\) −15.2876 + 8.82630i −0.761530 + 0.439669i
\(404\) −1.11927 1.93864i −0.0556860 0.0964509i
\(405\) −2.02746 0.943089i −0.100745 0.0468625i
\(406\) 11.3614 0.563859
\(407\) −1.77951 10.0415i −0.0882072 0.497738i
\(408\) 5.51959i 0.273260i
\(409\) −9.78149 5.64735i −0.483664 0.279243i 0.238278 0.971197i \(-0.423417\pi\)
−0.721942 + 0.691954i \(0.756750\pi\)
\(410\) −17.9091 + 12.5653i −0.884465 + 0.620555i
\(411\) 1.48682 + 2.57525i 0.0733394 + 0.127028i
\(412\) 2.11444 + 3.66232i 0.104171 + 0.180430i
\(413\) −23.0027 −1.13189
\(414\) −0.606969 1.05130i −0.0298309 0.0516687i
\(415\) 9.75957 0.863139i 0.479078 0.0423698i
\(416\) 1.56010 2.70218i 0.0764903 0.132485i
\(417\) 10.8796i 0.532776i
\(418\) 2.47314i 0.120965i
\(419\) 1.76879 3.06364i 0.0864111 0.149668i −0.819581 0.572964i \(-0.805793\pi\)
0.905992 + 0.423296i \(0.139127\pi\)
\(420\) −7.00182 + 4.91259i −0.341654 + 0.239710i
\(421\) 0.321990i 0.0156928i −0.999969 0.00784642i \(-0.997502\pi\)
0.999969 0.00784642i \(-0.00249762\pi\)
\(422\) −3.81199 + 6.60256i −0.185565 + 0.321407i
\(423\) 9.77017 + 5.64081i 0.475042 + 0.274265i
\(424\) 2.49973 + 1.44322i 0.121398 + 0.0700890i
\(425\) −17.7795 21.1077i −0.862433 1.02387i
\(426\) 1.39916 0.807805i 0.0677895 0.0391383i
\(427\) 12.2624 21.2391i 0.593418 1.02783i
\(428\) 2.24493 + 1.29611i 0.108513 + 0.0626499i
\(429\) −4.53028 2.61556i −0.218724 0.126280i
\(430\) 2.32267 + 26.2625i 0.112009 + 1.26649i
\(431\) 21.4026 12.3568i 1.03093 0.595206i 0.113676 0.993518i \(-0.463737\pi\)
0.917250 + 0.398312i \(0.130404\pi\)
\(432\) −0.866025 0.500000i −0.0416667 0.0240563i
\(433\) 2.86272i 0.137574i 0.997631 + 0.0687868i \(0.0219128\pi\)
−0.997631 + 0.0687868i \(0.978087\pi\)
\(434\) 21.6409 1.03879
\(435\) −6.02194 2.80116i −0.288730 0.134305i
\(436\) 14.1754i 0.678877i
\(437\) 1.55083 0.895373i 0.0741863 0.0428315i
\(438\) 12.7659 0.609979
\(439\) −1.68156 + 0.970851i −0.0802566 + 0.0463362i −0.539591 0.841927i \(-0.681421\pi\)
0.459335 + 0.888263i \(0.348088\pi\)
\(440\) 3.06884 2.15315i 0.146301 0.102647i
\(441\) −3.81590 6.60933i −0.181709 0.314730i
\(442\) −8.61112 + 14.9149i −0.409589 + 0.709429i
\(443\) 19.3246i 0.918141i 0.888400 + 0.459070i \(0.151817\pi\)
−0.888400 + 0.459070i \(0.848183\pi\)
\(444\) 2.07550 5.71772i 0.0984988 0.271351i
\(445\) −18.9308 + 1.67425i −0.897406 + 0.0793669i
\(446\) 3.46504 + 2.00054i 0.164075 + 0.0947285i
\(447\) −7.77322 + 4.48787i −0.367661 + 0.212269i
\(448\) −3.31268 + 1.91258i −0.156509 + 0.0903608i
\(449\) −19.4648 + 11.2380i −0.918600 + 0.530354i −0.883188 0.469019i \(-0.844608\pi\)
−0.0354115 + 0.999373i \(0.511274\pi\)
\(450\) 4.92239 0.877540i 0.232044 0.0413676i
\(451\) 8.20149 + 14.2054i 0.386193 + 0.668906i
\(452\) 17.1831 0.808225
\(453\) 10.1790 + 5.87683i 0.478250 + 0.276118i
\(454\) 12.8820 0.604583
\(455\) −26.5843 + 2.35112i −1.24629 + 0.110222i
\(456\) 0.737577 1.27752i 0.0345402 0.0598254i
\(457\) −5.93888 10.2864i −0.277809 0.481179i 0.693031 0.720908i \(-0.256275\pi\)
−0.970840 + 0.239729i \(0.922942\pi\)
\(458\) 15.6318 0.730426
\(459\) 4.78010 + 2.75979i 0.223116 + 0.128816i
\(460\) 2.46121 + 1.14485i 0.114754 + 0.0533790i
\(461\) 7.12646 + 4.11446i 0.331912 + 0.191630i 0.656690 0.754161i \(-0.271956\pi\)
−0.324777 + 0.945790i \(0.605289\pi\)
\(462\) 3.20650 + 5.55382i 0.149180 + 0.258387i
\(463\) −12.3478 21.3871i −0.573853 0.993942i −0.996165 0.0874916i \(-0.972115\pi\)
0.422313 0.906450i \(-0.361218\pi\)
\(464\) −2.57226 1.48510i −0.119414 0.0689439i
\(465\) −11.4704 5.33554i −0.531926 0.247430i
\(466\) 2.17339 + 1.25481i 0.100680 + 0.0581279i
\(467\) −14.7594 −0.682984 −0.341492 0.939885i \(-0.610932\pi\)
−0.341492 + 0.939885i \(0.610932\pi\)
\(468\) −1.56010 2.70218i −0.0721157 0.124908i
\(469\) −2.06204 + 3.57156i −0.0952161 + 0.164919i
\(470\) −25.1284 + 2.22236i −1.15909 + 0.102510i
\(471\) 0.124988 0.00575913
\(472\) 5.20788 + 3.00677i 0.239712 + 0.138398i
\(473\) 19.7677 0.908918
\(474\) 0.796940 + 1.38034i 0.0366047 + 0.0634012i
\(475\) 1.29451 + 7.26128i 0.0593960 + 0.333170i
\(476\) 18.2846 10.5566i 0.838075 0.483863i
\(477\) 2.49973 1.44322i 0.114455 0.0660805i
\(478\) −3.69433 + 2.13292i −0.168975 + 0.0975577i
\(479\) −25.0708 14.4746i −1.14551 0.661363i −0.197724 0.980258i \(-0.563355\pi\)
−0.947790 + 0.318895i \(0.896688\pi\)
\(480\) 2.22737 0.196990i 0.101665 0.00899131i
\(481\) 14.5286 12.2123i 0.662446 0.556832i
\(482\) 29.1279i 1.32674i
\(483\) −2.32175 + 4.02139i −0.105643 + 0.182980i
\(484\) 4.09462 + 7.09209i 0.186119 + 0.322368i
\(485\) 30.8141 21.6197i 1.39920 0.981698i
\(486\) −0.866025 + 0.500000i −0.0392837 + 0.0226805i
\(487\) 42.1560 1.91027 0.955135 0.296171i \(-0.0957098\pi\)
0.955135 + 0.296171i \(0.0957098\pi\)
\(488\) −5.55247 + 3.20572i −0.251349 + 0.145116i
\(489\) 16.8291i 0.761037i
\(490\) 15.4731 + 7.19746i 0.699005 + 0.325148i
\(491\) −26.3161 −1.18763 −0.593814 0.804602i \(-0.702379\pi\)
−0.593814 + 0.804602i \(0.702379\pi\)
\(492\) 9.78387i 0.441091i
\(493\) 14.1978 + 8.19712i 0.639438 + 0.369180i
\(494\) 3.98612 2.30139i 0.179344 0.103544i
\(495\) −0.330260 3.73427i −0.0148441 0.167843i
\(496\) −4.89955 2.82876i −0.219996 0.127015i
\(497\) −5.35200 3.08998i −0.240070 0.138605i
\(498\) 2.19082 3.79462i 0.0981731 0.170041i
\(499\) −17.0790 + 9.86057i −0.764561 + 0.441420i −0.830931 0.556375i \(-0.812192\pi\)
0.0663697 + 0.997795i \(0.478858\pi\)
\(500\) −7.88326 + 7.92806i −0.352550 + 0.354554i
\(501\) 17.3805 + 10.0346i 0.776503 + 0.448314i
\(502\) 11.9150 + 6.87914i 0.531793 + 0.307031i
\(503\) 9.47499 16.4112i 0.422469 0.731738i −0.573711 0.819058i \(-0.694497\pi\)
0.996180 + 0.0873197i \(0.0278302\pi\)
\(504\) 3.82515i 0.170386i
\(505\) 4.09759 2.87493i 0.182340 0.127933i
\(506\) 1.01760 1.76254i 0.0452380 0.0783545i
\(507\) 3.26433i 0.144974i
\(508\) 16.2023i 0.718862i
\(509\) 12.3220 21.3424i 0.546164 0.945984i −0.452369 0.891831i \(-0.649421\pi\)
0.998533 0.0541528i \(-0.0172458\pi\)
\(510\) −12.2942 + 1.08730i −0.544396 + 0.0481466i
\(511\) −24.4158 42.2894i −1.08009 1.87077i
\(512\) 1.00000 0.0441942
\(513\) −0.737577 1.27752i −0.0325648 0.0564039i
\(514\) 3.17314 + 5.49604i 0.139961 + 0.242420i
\(515\) −7.74084 + 5.43109i −0.341102 + 0.239323i
\(516\) 10.2111 + 5.89540i 0.449520 + 0.259531i
\(517\) 18.9140i 0.831837i
\(518\) −22.9105 + 4.06011i −1.00663 + 0.178391i
\(519\) −13.8147 −0.606399
\(520\) 6.32608 + 2.94263i 0.277417 + 0.129043i
\(521\) 0.538526 + 0.932754i 0.0235933 + 0.0408647i 0.877581 0.479428i \(-0.159156\pi\)
−0.853988 + 0.520293i \(0.825823\pi\)
\(522\) −2.57226 + 1.48510i −0.112585 + 0.0650009i
\(523\) −13.2793 23.0004i −0.580662 1.00574i −0.995401 0.0957956i \(-0.969460\pi\)
0.414739 0.909940i \(-0.363873\pi\)
\(524\) 18.2519i 0.797339i
\(525\) −12.3215 14.6279i −0.537752 0.638416i
\(526\) 1.08830i 0.0474519i
\(527\) 27.0435 + 15.6136i 1.17803 + 0.680138i
\(528\) 1.67653i 0.0729617i
\(529\) −21.5264 −0.935928
\(530\) −2.72217 + 5.85214i −0.118244 + 0.254201i
\(531\) 5.20788 3.00677i 0.226003 0.130483i
\(532\) −5.64269 −0.244642
\(533\) −15.2638 + 26.4377i −0.661150 + 1.14514i
\(534\) −4.24958 + 7.36049i −0.183897 + 0.318519i
\(535\) −2.44470 + 5.25562i −0.105693 + 0.227220i
\(536\) 0.933703 0.539074i 0.0403298 0.0232844i
\(537\) −6.40554 11.0947i −0.276419 0.478773i
\(538\) 1.59200 2.75742i 0.0686359 0.118881i
\(539\) 6.39748 11.0808i 0.275559 0.477282i
\(540\) 0.943089 2.02746i 0.0405841 0.0872479i
\(541\) 32.7874i 1.40964i −0.709386 0.704821i \(-0.751027\pi\)
0.709386 0.704821i \(-0.248973\pi\)
\(542\) −8.94307 15.4898i −0.384138 0.665346i
\(543\) 12.8694 + 7.43016i 0.552280 + 0.318859i
\(544\) −5.51959 −0.236650
\(545\) 31.5739 2.79240i 1.35248 0.119613i
\(546\) −5.96763 + 10.3362i −0.255391 + 0.442350i
\(547\) −15.9573 −0.682284 −0.341142 0.940012i \(-0.610814\pi\)
−0.341142 + 0.940012i \(0.610814\pi\)
\(548\) −2.57525 + 1.48682i −0.110009 + 0.0635138i
\(549\) 6.41144i 0.273634i
\(550\) 5.40039 + 6.41130i 0.230273 + 0.273379i
\(551\) −2.19074 3.79448i −0.0933289 0.161650i
\(552\) 1.05130 0.606969i 0.0447464 0.0258343i
\(553\) 3.04842 5.28002i 0.129632 0.224529i
\(554\) −19.6343 −0.834183
\(555\) 13.1443 + 3.49658i 0.557947 + 0.148422i
\(556\) 10.8796 0.461397
\(557\) −14.2933 + 24.7567i −0.605626 + 1.04898i 0.386326 + 0.922362i \(0.373744\pi\)
−0.991952 + 0.126613i \(0.959589\pi\)
\(558\) −4.89955 + 2.82876i −0.207415 + 0.119751i
\(559\) 18.3948 + 31.8608i 0.778019 + 1.34757i
\(560\) −4.91259 7.00182i −0.207595 0.295881i
\(561\) 9.25377i 0.390695i
\(562\) −10.2198 + 5.90041i −0.431096 + 0.248894i
\(563\) 10.1756 0.428850 0.214425 0.976740i \(-0.431212\pi\)
0.214425 + 0.976740i \(0.431212\pi\)
\(564\) −5.64081 + 9.77017i −0.237521 + 0.411398i
\(565\) 3.38489 + 38.2732i 0.142403 + 1.61016i
\(566\) 2.15974 0.0907806
\(567\) 3.31268 + 1.91258i 0.139119 + 0.0803207i
\(568\) 0.807805 + 1.39916i 0.0338948 + 0.0587075i
\(569\) 41.4725i 1.73862i −0.494270 0.869308i \(-0.664565\pi\)
0.494270 0.869308i \(-0.335435\pi\)
\(570\) 2.99081 + 1.39120i 0.125271 + 0.0582710i
\(571\) −3.26000 + 5.64649i −0.136427 + 0.236298i −0.926142 0.377176i \(-0.876895\pi\)
0.789715 + 0.613474i \(0.210229\pi\)
\(572\) 2.61556 4.53028i 0.109362 0.189421i
\(573\) −6.27162 10.8628i −0.262001 0.453798i
\(574\) 32.4108 18.7124i 1.35280 0.781040i
\(575\) −2.06518 + 5.70756i −0.0861240 + 0.238022i
\(576\) 0.500000 0.866025i 0.0208333 0.0360844i
\(577\) −17.6741 + 30.6124i −0.735781 + 1.27441i 0.218599 + 0.975815i \(0.429851\pi\)
−0.954380 + 0.298596i \(0.903482\pi\)
\(578\) 13.4659 0.560106
\(579\) −22.6437 + 13.0734i −0.941041 + 0.543310i
\(580\) 2.80116 6.02194i 0.116312 0.250047i
\(581\) −16.7605 −0.695341
\(582\) 16.8340i 0.697792i
\(583\) 4.19088 + 2.41961i 0.173569 + 0.100210i
\(584\) 12.7659i 0.528257i
\(585\) 5.71143 4.00723i 0.236139 0.165679i
\(586\) 3.57631i 0.147736i
\(587\) 4.39397 + 7.61058i 0.181359 + 0.314122i 0.942343 0.334647i \(-0.108617\pi\)
−0.760985 + 0.648770i \(0.775284\pi\)
\(588\) 6.60933 3.81590i 0.272564 0.157365i
\(589\) −4.17285 7.22759i −0.171939 0.297808i
\(590\) −5.67131 + 12.1922i −0.233484 + 0.501945i
\(591\) 24.1061 0.991592
\(592\) 5.71772 + 2.07550i 0.234997 + 0.0853025i
\(593\) 25.1637i 1.03335i 0.856182 + 0.516675i \(0.172830\pi\)
−0.856182 + 0.516675i \(0.827170\pi\)
\(594\) −1.45192 0.838266i −0.0595730 0.0343945i
\(595\) 27.1155 + 38.6472i 1.11163 + 1.58438i
\(596\) −4.48787 7.77322i −0.183830 0.318404i
\(597\) 10.7475 + 18.6153i 0.439867 + 0.761872i
\(598\) 3.78773 0.154892
\(599\) 14.2456 + 24.6741i 0.582060 + 1.00816i 0.995235 + 0.0975062i \(0.0310866\pi\)
−0.413175 + 0.910652i \(0.635580\pi\)
\(600\) 0.877540 + 4.92239i 0.0358254 + 0.200956i
\(601\) 11.6102 20.1095i 0.473591 0.820284i −0.525952 0.850514i \(-0.676291\pi\)
0.999543 + 0.0302304i \(0.00962411\pi\)
\(602\) 45.1016i 1.83820i
\(603\) 1.07815i 0.0439056i
\(604\) −5.87683 + 10.1790i −0.239125 + 0.414177i
\(605\) −14.9901 + 10.5173i −0.609436 + 0.427590i
\(606\) 2.23855i 0.0909348i
\(607\) −23.1472 + 40.0921i −0.939515 + 1.62729i −0.173138 + 0.984898i \(0.555391\pi\)
−0.766377 + 0.642391i \(0.777943\pi\)
\(608\) 1.27752 + 0.737577i 0.0518103 + 0.0299127i
\(609\) 9.83930 + 5.68072i 0.398708 + 0.230194i
\(610\) −8.23412 11.7359i −0.333390 0.475174i
\(611\) −30.4849 + 17.6005i −1.23329 + 0.712039i
\(612\) −2.75979 + 4.78010i −0.111558 + 0.193224i
\(613\) 23.1733 + 13.3791i 0.935963 + 0.540378i 0.888692 0.458504i \(-0.151614\pi\)
0.0472702 + 0.998882i \(0.484948\pi\)
\(614\) 9.85354 + 5.68895i 0.397657 + 0.229587i
\(615\) −21.7923 + 1.92732i −0.878752 + 0.0777171i
\(616\) −5.55382 + 3.20650i −0.223770 + 0.129193i
\(617\) 4.78348 + 2.76174i 0.192576 + 0.111184i 0.593188 0.805064i \(-0.297869\pi\)
−0.400612 + 0.916248i \(0.631203\pi\)
\(618\) 4.22889i 0.170111i
\(619\) −22.2474 −0.894200 −0.447100 0.894484i \(-0.647543\pi\)
−0.447100 + 0.894484i \(0.647543\pi\)
\(620\) 5.33554 11.4704i 0.214280 0.460661i
\(621\) 1.21394i 0.0487137i
\(622\) −25.0523 + 14.4639i −1.00450 + 0.579951i
\(623\) 32.5106 1.30251
\(624\) 2.70218 1.56010i 0.108174 0.0624540i
\(625\) −19.2117 15.9972i −0.768467 0.639889i
\(626\) −6.77595 11.7363i −0.270821 0.469076i
\(627\) 1.23657 2.14180i 0.0493839 0.0855354i
\(628\) 0.124988i 0.00498755i
\(629\) −31.5595 11.4559i −1.25836 0.456777i
\(630\) −8.52005 + 0.753516i −0.339447 + 0.0300208i
\(631\) −27.6705 15.9756i −1.10154 0.635977i −0.164918 0.986307i \(-0.552736\pi\)
−0.936626 + 0.350330i \(0.886069\pi\)
\(632\) −1.38034 + 0.796940i −0.0549070 + 0.0317006i
\(633\) −6.60256 + 3.81199i −0.262428 + 0.151513i
\(634\) 0.669018 0.386258i 0.0265701 0.0153403i
\(635\) −36.0887 + 3.19169i −1.43213 + 0.126658i
\(636\) 1.44322 + 2.49973i 0.0572274 + 0.0991208i
\(637\) 23.8128 0.943496
\(638\) −4.31248 2.48981i −0.170733 0.0985726i
\(639\) 1.61561 0.0639126
\(640\) 0.196990 + 2.22737i 0.00778670 + 0.0880447i
\(641\) −7.48229 + 12.9597i −0.295533 + 0.511878i −0.975109 0.221727i \(-0.928830\pi\)
0.679576 + 0.733605i \(0.262164\pi\)
\(642\) 1.29611 + 2.24493i 0.0511534 + 0.0886004i
\(643\) −11.0905 −0.437365 −0.218683 0.975796i \(-0.570176\pi\)
−0.218683 + 0.975796i \(0.570176\pi\)
\(644\) −4.02139 2.32175i −0.158465 0.0914898i
\(645\) −11.1198 + 23.9053i −0.437841 + 0.941272i
\(646\) −7.05139 4.07112i −0.277433 0.160176i
\(647\) 10.1375 + 17.5587i 0.398547 + 0.690304i 0.993547 0.113422i \(-0.0361812\pi\)
−0.595000 + 0.803726i \(0.702848\pi\)
\(648\) −0.500000 0.866025i −0.0196419 0.0340207i
\(649\) 8.73118 + 5.04095i 0.342729 + 0.197875i
\(650\) −5.30816 + 14.6702i −0.208203 + 0.575413i
\(651\) 18.7415 + 10.8204i 0.734539 + 0.424086i
\(652\) −16.8291 −0.659077
\(653\) −16.6048 28.7604i −0.649797 1.12548i −0.983171 0.182686i \(-0.941521\pi\)
0.333375 0.942794i \(-0.391813\pi\)
\(654\) 7.08769 12.2762i 0.277151 0.480039i
\(655\) 40.6539 3.59544i 1.58848 0.140486i
\(656\) −9.78387 −0.381996
\(657\) 11.0556 + 6.38296i 0.431320 + 0.249023i
\(658\) 43.1539 1.68231
\(659\) 14.0393 + 24.3168i 0.546894 + 0.947249i 0.998485 + 0.0550236i \(0.0175234\pi\)
−0.451591 + 0.892225i \(0.649143\pi\)
\(660\) 3.73427 0.330260i 0.145356 0.0128553i
\(661\) −15.3660 + 8.87157i −0.597669 + 0.345064i −0.768124 0.640301i \(-0.778810\pi\)
0.170455 + 0.985365i \(0.445476\pi\)
\(662\) 6.34735 3.66465i 0.246697 0.142430i
\(663\) −14.9149 + 8.61112i −0.579247 + 0.334428i
\(664\) 3.79462 + 2.19082i 0.147260 + 0.0850204i
\(665\) −1.11155 12.5684i −0.0431041 0.487381i
\(666\) 4.65629 3.91394i 0.180428 0.151662i
\(667\) 3.60563i 0.139611i
\(668\) −10.0346 + 17.3805i −0.388252 + 0.672471i
\(669\) 2.00054 + 3.46504i 0.0773455 + 0.133966i
\(670\) 1.38465 + 1.97351i 0.0534936 + 0.0762435i
\(671\) −9.30890 + 5.37450i −0.359366 + 0.207480i
\(672\) −3.82515 −0.147558
\(673\) 21.5251 12.4275i 0.829730 0.479045i −0.0240303 0.999711i \(-0.507650\pi\)
0.853760 + 0.520666i \(0.174316\pi\)
\(674\) 11.8053i 0.454725i
\(675\) 4.70168 + 1.70122i 0.180968 + 0.0654801i
\(676\) −3.26433 −0.125551
\(677\) 31.6990i 1.21829i 0.793059 + 0.609145i \(0.208487\pi\)
−0.793059 + 0.609145i \(0.791513\pi\)
\(678\) 14.8810 + 8.59155i 0.571501 + 0.329956i
\(679\) −55.7657 + 32.1963i −2.14009 + 1.23558i
\(680\) −1.08730 12.2942i −0.0416961 0.471461i
\(681\) 11.1562 + 6.44101i 0.427505 + 0.246820i
\(682\) −8.21426 4.74250i −0.314540 0.181600i
\(683\) −23.4462 + 40.6100i −0.897144 + 1.55390i −0.0660151 + 0.997819i \(0.521029\pi\)
−0.831129 + 0.556080i \(0.812305\pi\)
\(684\) 1.27752 0.737577i 0.0488472 0.0282019i
\(685\) −3.81900 5.44315i −0.145917 0.207972i
\(686\) −2.09294 1.20836i −0.0799089 0.0461354i
\(687\) 13.5375 + 7.81590i 0.516489 + 0.298195i
\(688\) −5.89540 + 10.2111i −0.224760 + 0.389296i
\(689\) 9.00628i 0.343112i
\(690\) 1.55904 + 2.22208i 0.0593518 + 0.0845930i
\(691\) 4.24583 7.35399i 0.161519 0.279759i −0.773895 0.633314i \(-0.781694\pi\)
0.935414 + 0.353555i \(0.115027\pi\)
\(692\) 13.8147i 0.525157i
\(693\) 6.41299i 0.243609i
\(694\) −5.25860 + 9.10817i −0.199614 + 0.345741i
\(695\) 2.14317 + 24.2329i 0.0812950 + 0.919207i
\(696\) −1.48510 2.57226i −0.0562924 0.0975014i
\(697\) 54.0029 2.04551
\(698\) −10.6455 18.4385i −0.402938 0.697908i
\(699\) 1.25481 + 2.17339i 0.0474612 + 0.0822052i
\(700\) 14.6279 12.3215i 0.552884 0.465707i
\(701\) 10.6232 + 6.13333i 0.401234 + 0.231653i 0.687016 0.726642i \(-0.258920\pi\)
−0.285782 + 0.958295i \(0.592253\pi\)
\(702\) 3.12020i 0.117764i
\(703\) 5.77366 + 6.86875i 0.217758 + 0.259060i
\(704\) 1.67653 0.0631867
\(705\) −22.8730 10.6396i −0.861447 0.400709i
\(706\) −1.38917 2.40612i −0.0522823 0.0905555i
\(707\) −7.41559 + 4.28140i −0.278892 + 0.161018i
\(708\) 3.00677 + 5.20788i 0.113001 + 0.195724i
\(709\) 11.8142i 0.443692i 0.975082 + 0.221846i \(0.0712083\pi\)
−0.975082 + 0.221846i \(0.928792\pi\)
\(710\) −2.95732 + 2.07491i −0.110986 + 0.0778698i
\(711\) 1.59388i 0.0597752i
\(712\) −7.36049 4.24958i −0.275846 0.159260i
\(713\) 6.86788i 0.257204i
\(714\) 21.1133 0.790144
\(715\) 10.6059 + 4.93341i 0.396637 + 0.184499i
\(716\) 11.0947 6.40554i 0.414629 0.239386i
\(717\) −4.26585 −0.159311
\(718\) 13.5421 23.4555i 0.505385 0.875353i
\(719\) 7.22948 12.5218i 0.269614 0.466985i −0.699148 0.714977i \(-0.746437\pi\)
0.968762 + 0.247992i \(0.0797705\pi\)
\(720\) 2.02746 + 0.943089i 0.0755589 + 0.0351468i
\(721\) 14.0089 8.08807i 0.521720 0.301215i
\(722\) −8.41196 14.5699i −0.313061 0.542237i
\(723\) −14.5640 + 25.2255i −0.541639 + 0.938147i
\(724\) −7.43016 + 12.8694i −0.276140 + 0.478288i
\(725\) 13.9649 + 5.05296i 0.518644 + 0.187662i
\(726\) 8.18924i 0.303931i
\(727\) 15.6966 + 27.1874i 0.582156 + 1.00832i 0.995223 + 0.0976231i \(0.0311240\pi\)
−0.413068 + 0.910700i \(0.635543\pi\)
\(728\) −10.3362 5.96763i −0.383086 0.221175i
\(729\) −1.00000 −0.0370370
\(730\) −28.4345 + 2.51475i −1.05241 + 0.0930752i
\(731\) 32.5402 56.3613i 1.20354 2.08460i
\(732\) −6.41144 −0.236974
\(733\) 17.0623 9.85091i 0.630210 0.363852i −0.150624 0.988591i \(-0.548128\pi\)
0.780833 + 0.624739i \(0.214795\pi\)
\(734\) 0.639187i 0.0235928i
\(735\) 9.80140 + 13.9698i 0.361530 + 0.515282i
\(736\) 0.606969 + 1.05130i 0.0223732 + 0.0387515i
\(737\) 1.56538 0.903775i 0.0576616 0.0332910i
\(738\) −4.89193 + 8.47308i −0.180075 + 0.311898i
\(739\) 20.8046 0.765309 0.382654 0.923892i \(-0.375010\pi\)
0.382654 + 0.923892i \(0.375010\pi\)
\(740\) −3.49658 + 13.1443i −0.128537 + 0.483196i
\(741\) 4.60278 0.169087
\(742\) 5.52054 9.56186i 0.202665 0.351027i
\(743\) 32.1117 18.5397i 1.17807 0.680156i 0.222499 0.974933i \(-0.428579\pi\)
0.955566 + 0.294776i \(0.0952452\pi\)
\(744\) −2.82876 4.89955i −0.103707 0.179626i
\(745\) 16.4298 11.5274i 0.601942 0.422332i
\(746\) 9.34596i 0.342180i
\(747\) 3.79462 2.19082i 0.138838 0.0801580i
\(748\) −9.25377 −0.338351
\(749\) 4.95783 8.58721i 0.181155 0.313770i
\(750\) −10.7911 + 2.92427i −0.394037 + 0.106779i
\(751\) −8.36573 −0.305270 −0.152635 0.988283i \(-0.548776\pi\)
−0.152635 + 0.988283i \(0.548776\pi\)
\(752\) −9.77017 5.64081i −0.356281 0.205699i
\(753\) 6.87914 + 11.9150i 0.250690 + 0.434207i
\(754\) 9.26760i 0.337506i
\(755\) −23.8301 11.0848i −0.867264 0.403415i
\(756\) −1.91258 + 3.31268i −0.0695597 + 0.120481i
\(757\) −7.05341 + 12.2169i −0.256361 + 0.444030i −0.965264 0.261276i \(-0.915857\pi\)
0.708904 + 0.705305i \(0.249190\pi\)
\(758\) 14.4675 + 25.0584i 0.525482 + 0.910161i
\(759\) 1.76254 1.01760i 0.0639762 0.0369367i
\(760\) −1.39120 + 2.99081i −0.0504641 + 0.108488i
\(761\) 8.89832 15.4123i 0.322564 0.558697i −0.658453 0.752622i \(-0.728789\pi\)
0.981016 + 0.193926i \(0.0621220\pi\)
\(762\) −8.10117 + 14.0316i −0.293474 + 0.508312i
\(763\) −54.2230 −1.96300
\(764\) 10.8628 6.27162i 0.393001 0.226899i
\(765\) −11.1907 5.20546i −0.404602 0.188204i
\(766\) −10.2615 −0.370764
\(767\) 18.7635i 0.677510i
\(768\) 0.866025 + 0.500000i 0.0312500 + 0.0180422i
\(769\) 21.3406i 0.769563i −0.923008 0.384782i \(-0.874277\pi\)
0.923008 0.384782i \(-0.125723\pi\)
\(770\) −8.23611 11.7388i −0.296809 0.423036i
\(771\) 6.34628i 0.228556i
\(772\) −13.0734 22.6437i −0.470521 0.814966i
\(773\) 39.3866 22.7399i 1.41664 0.817896i 0.420636 0.907229i \(-0.361807\pi\)
0.996002 + 0.0893331i \(0.0284736\pi\)
\(774\) 5.89540 + 10.2111i 0.211906 + 0.367032i
\(775\) 26.5999 + 9.62470i 0.955495 + 0.345729i
\(776\) 16.8340 0.604306
\(777\) −21.8711